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In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time facult teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 32 of the 44 online courses at this particular community college were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. O Ho: p s 0.68 O Ho: p 2 0.68 O Ho: P = 0.68 O Ho: p # 0.68 Part (b) State the alternative hypothesis. O Ha: P > 0.68 O Ha: P # 0.68 O Ha: P